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<div class="title">SparseLU.h</div>  </div>
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<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (C) 2012 Désiré Nuentsa-Wakam &lt;desire.nuentsa_wakam@inria.fr&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">// Copyright (C) 2012-2014 Gael Guennebaud &lt;gael.guennebaud@inria.fr&gt;</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160; </div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160; </div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#ifndef EIGEN_SPARSE_LU_H</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#define EIGEN_SPARSE_LU_H</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160; </div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &quot;./InternalHeaderCheck.h&quot;</span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160; </div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceEigen.html">Eigen</a> {</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160; </div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> MatrixType_, <span class="keyword">typename</span> OrderingType_ = COLAMDOrdering&lt;<span class="keyword">typename</span> MatrixType_::StorageIndex&gt; &gt; <span class="keyword">class </span>SparseLU;</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> MappedSparseMatrixType&gt; <span class="keyword">struct </span>SparseLUMatrixLReturnType;</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> MatrixLType, <span class="keyword">typename</span> MatrixUType&gt; <span class="keyword">struct </span>SparseLUMatrixUReturnType;</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160; </div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> Conjugate,<span class="keyword">class</span> SparseLUType&gt;</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="keyword">class </span>SparseLUTransposeView : <span class="keyword">public</span> SparseSolverBase&lt;SparseLUTransposeView&lt;Conjugate,SparseLUType&gt; &gt;</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;{</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;  <span class="keyword">typedef</span> SparseSolverBase&lt;SparseLUTransposeView&lt;Conjugate,SparseLUType&gt; &gt; APIBase;</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;  <span class="keyword">using</span> APIBase::m_isInitialized;</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> SparseLUType::Scalar Scalar;</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> SparseLUType::StorageIndex StorageIndex;</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> SparseLUType::MatrixType MatrixType;</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> SparseLUType::OrderingType OrderingType;</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160; </div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    ColsAtCompileTime = MatrixType::ColsAtCompileTime,</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    MaxColsAtCompileTime = MatrixType::MaxColsAtCompileTime</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;  };</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160; </div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;  SparseLUTransposeView() : m_sparseLU(NULL) {}</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;  SparseLUTransposeView(<span class="keyword">const</span> SparseLUTransposeView&amp; view) {</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    this-&gt;m_sparseLU = view.m_sparseLU;</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;  }</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;  <span class="keywordtype">void</span> setIsInitialized(<span class="keyword">const</span> <span class="keywordtype">bool</span> isInitialized) {this-&gt;m_isInitialized = isInitialized;}</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;  <span class="keywordtype">void</span> setSparseLU(SparseLUType* sparseLU) {m_sparseLU = sparseLU;}</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;  <span class="keyword">using</span> APIBase::_solve_impl;</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Rhs, <span class="keyword">typename</span> Dest&gt;</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;  <span class="keywordtype">bool</span> _solve_impl(<span class="keyword">const</span> MatrixBase&lt;Rhs&gt; &amp;B, MatrixBase&lt;Dest&gt; &amp;X_base)<span class="keyword"> const</span></div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    Dest&amp; X(X_base.derived());</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    eigen_assert(m_sparseLU-&gt;info() == <a class="code" href="group__enums.html#gga85fad7b87587764e5cf6b513a9e0ee5ea671a2aeb0f527802806a441d58a80fcf">Success</a> &amp;&amp; <span class="stringliteral">&quot;The matrix should be factorized first&quot;</span>);</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    EIGEN_STATIC_ASSERT((Dest::Flags&amp;<a class="code" href="group__flags.html#gae4f56c2a60bbe4bd2e44c5b19cbe8762">RowMajorBit</a>)==0,</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                        THIS_METHOD_IS_ONLY_FOR_COLUMN_MAJOR_MATRICES);</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160; </div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160; </div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    <span class="comment">// this ugly const_cast_derived() helps to detect aliasing when applying the permutations</span></div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;    <span class="keywordflow">for</span>(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> j = 0; j &lt; B.cols(); ++j){</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      X.col(j) = m_sparseLU-&gt;colsPermutation() * B.const_cast_derived().col(j);</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;    }</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    <span class="comment">//Forward substitution with transposed or adjoint of U</span></div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    m_sparseLU-&gt;matrixU().template solveTransposedInPlace&lt;Conjugate&gt;(X);</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160; </div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;    <span class="comment">//Backward substitution with transposed or adjoint of L</span></div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    m_sparseLU-&gt;matrixL().template solveTransposedInPlace&lt;Conjugate&gt;(X);</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160; </div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    <span class="comment">// Permute back the solution</span></div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> j = 0; j &lt; B.cols(); ++j)</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      X.col(j) = m_sparseLU-&gt;rowsPermutation().transpose() * X.col(j);</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;    <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;  }</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;  <span class="keyword">inline</span> <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> rows()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_sparseLU-&gt;rows(); }</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;  <span class="keyword">inline</span> <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> cols()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_sparseLU-&gt;cols(); }</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160; </div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;<span class="keyword">private</span>:</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;  SparseLUType *m_sparseLU;</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;  SparseLUTransposeView&amp; operator=(<span class="keyword">const</span> SparseLUTransposeView&amp;);</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;};</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160; </div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160; </div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> MatrixType_, <span class="keyword">typename</span> OrderingType_&gt;</div>
<div class="line"><a name="l00133"></a><span class="lineno"><a class="line" href="classEigen_1_1SparseLU.html">  133</a></span>&#160;<span class="keyword">class </span><a class="code" href="classEigen_1_1SparseLU.html">SparseLU</a> : <span class="keyword">public</span> <a class="code" href="classEigen_1_1SparseSolverBase.html">SparseSolverBase</a>&lt;SparseLU&lt;MatrixType_,OrderingType_&gt; &gt;, <span class="keyword">public</span> internal::SparseLUImpl&lt;typename MatrixType_::Scalar, typename MatrixType_::StorageIndex&gt;</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;{</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1SparseSolverBase.html">SparseSolverBase&lt;SparseLU&lt;MatrixType_,OrderingType_&gt;</a> &gt; <a class="code" href="classEigen_1_1SparseSolverBase.html">APIBase</a>;</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;    <span class="keyword">using</span> APIBase::m_isInitialized;</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;    <span class="keyword">using</span> APIBase::_solve_impl;</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;    </div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;    <span class="keyword">typedef</span> MatrixType_ MatrixType;</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;    <span class="keyword">typedef</span> OrderingType_ OrderingType;</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Scalar Scalar; </div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::RealScalar RealScalar; </div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::StorageIndex StorageIndex;</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1SparseMatrix.html">SparseMatrix&lt;Scalar,ColMajor,StorageIndex&gt;</a> <a class="code" href="classEigen_1_1SparseMatrix.html">NCMatrix</a>;</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;    <span class="keyword">typedef</span> internal::MappedSuperNodalMatrix&lt;Scalar, StorageIndex&gt; SCMatrix;</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Matrix.html">Matrix&lt;Scalar,Dynamic,1&gt;</a> <a class="code" href="classEigen_1_1Matrix.html">ScalarVector</a>;</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Matrix.html">Matrix&lt;StorageIndex,Dynamic,1&gt;</a> <a class="code" href="classEigen_1_1Matrix.html">IndexVector</a>;</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationMatrix&lt;Dynamic, Dynamic, StorageIndex&gt;</a> <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationType</a>;</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;    <span class="keyword">typedef</span> internal::SparseLUImpl&lt;Scalar, StorageIndex&gt; Base;</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160; </div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;    <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;      ColsAtCompileTime = MatrixType::ColsAtCompileTime,</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;      MaxColsAtCompileTime = MatrixType::MaxColsAtCompileTime</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;    };</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;    </div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160; </div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    <a class="code" href="classEigen_1_1SparseLU.html">SparseLU</a>():m_lastError(<span class="stringliteral">&quot;&quot;</span>),m_Ustore(0,0,0,0,0,0),m_symmetricmode(<span class="keyword">false</span>),m_diagpivotthresh(1.0),m_detPermR(1)</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;    {</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;      initperfvalues(); </div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;    }</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;    <span class="keyword">explicit</span> <a class="code" href="classEigen_1_1SparseLU.html">SparseLU</a>(<span class="keyword">const</span> MatrixType&amp; matrix)</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;      : m_lastError(<span class="stringliteral">&quot;&quot;</span>),m_Ustore(0,0,0,0,0,0),m_symmetricmode(<span class="keyword">false</span>),m_diagpivotthresh(1.0),m_detPermR(1)</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;    {</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;      initperfvalues(); </div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;      <a class="code" href="classEigen_1_1SparseLU.html#a5b509284ea760c16df0a199a02222706">compute</a>(matrix);</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;    }</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;    </div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;    ~<a class="code" href="classEigen_1_1SparseLU.html">SparseLU</a>()</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;    {</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;      <span class="comment">// Free all explicit dynamic pointers </span></div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;    }</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;    </div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SparseLU.html#aa907ff958c4f4855145091d2686f3a8a">analyzePattern</a> (<span class="keyword">const</span> MatrixType&amp; matrix);</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SparseLU.html#a39858b0e72f2659d596364e252b34cbc">factorize</a> (<span class="keyword">const</span> MatrixType&amp; matrix);</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;    <span class="keywordtype">void</span> simplicialfactorize(<span class="keyword">const</span> MatrixType&amp; matrix);</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;    </div>
<div class="line"><a name="l00184"></a><span class="lineno"><a class="line" href="classEigen_1_1SparseLU.html#a5b509284ea760c16df0a199a02222706">  184</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SparseLU.html#a5b509284ea760c16df0a199a02222706">compute</a> (<span class="keyword">const</span> MatrixType&amp; matrix)</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;    {</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;      <span class="comment">// Analyze </span></div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;      <a class="code" href="classEigen_1_1SparseLU.html#aa907ff958c4f4855145091d2686f3a8a">analyzePattern</a>(matrix); </div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;      <span class="comment">//Factorize</span></div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;      <a class="code" href="classEigen_1_1SparseLU.html#a39858b0e72f2659d596364e252b34cbc">factorize</a>(matrix);</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;    } </div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160; </div>
<div class="line"><a name="l00202"></a><span class="lineno"><a class="line" href="classEigen_1_1SparseLU.html#ad6811b4ed43008866f76dac0d961aa07">  202</a></span>&#160;    <span class="keyword">const</span> SparseLUTransposeView&lt;false,SparseLU&lt;MatrixType_,OrderingType_&gt; &gt; <a class="code" href="classEigen_1_1SparseLU.html#ad6811b4ed43008866f76dac0d961aa07">transpose</a>()</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;    {</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;      SparseLUTransposeView&lt;false,  SparseLU&lt;MatrixType_,OrderingType_&gt; &gt; transposeView;</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;      transposeView.setSparseLU(<span class="keyword">this</span>);</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;      transposeView.setIsInitialized(this-&gt;m_isInitialized);</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;      <span class="keywordflow">return</span> transposeView;</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;    }</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160; </div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160; </div>
<div class="line"><a name="l00223"></a><span class="lineno"><a class="line" href="classEigen_1_1SparseLU.html#a470a4d11f5fae535444a944229c3971f">  223</a></span>&#160;    <span class="keyword">const</span> SparseLUTransposeView&lt;true, SparseLU&lt;MatrixType_,OrderingType_&gt; &gt; <a class="code" href="classEigen_1_1SparseLU.html#a470a4d11f5fae535444a944229c3971f">adjoint</a>()</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;    {</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;      SparseLUTransposeView&lt;true,  SparseLU&lt;MatrixType_,OrderingType_&gt; &gt; adjointView;</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;      adjointView.setSparseLU(<span class="keyword">this</span>);</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;      adjointView.setIsInitialized(this-&gt;m_isInitialized);</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;      <span class="keywordflow">return</span> adjointView;</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;    }</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;    </div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;    <span class="keyword">inline</span> <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> rows()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_mat.<a class="code" href="classEigen_1_1SparseMatrix.html#a853a76dd42349fa2f3654a4a61e0f574">rows</a>(); }</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;    <span class="keyword">inline</span> <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> cols()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_mat.<a class="code" href="classEigen_1_1SparseMatrix.html#a36b8cc95234b4e2de38a199b6b2af9fc">cols</a>(); }</div>
<div class="line"><a name="l00234"></a><span class="lineno"><a class="line" href="classEigen_1_1SparseLU.html#adc74f4ce95a46895eb0195cce99ff4d7">  234</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SparseLU.html#adc74f4ce95a46895eb0195cce99ff4d7">isSymmetric</a>(<span class="keywordtype">bool</span> sym)</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;    {</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;      m_symmetricmode = sym;</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;    }</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;    </div>
<div class="line"><a name="l00245"></a><span class="lineno"><a class="line" href="classEigen_1_1SparseLU.html#a5082b9d812d665521473c6c350c83495">  245</a></span>&#160;    SparseLUMatrixLReturnType&lt;SCMatrix&gt; <a class="code" href="classEigen_1_1SparseLU.html#a5082b9d812d665521473c6c350c83495">matrixL</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;      <span class="keywordflow">return</span> SparseLUMatrixLReturnType&lt;SCMatrix&gt;(m_Lstore);</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;    }</div>
<div class="line"><a name="l00255"></a><span class="lineno"><a class="line" href="classEigen_1_1SparseLU.html#a37ecd1187e54026c90ff11e5b3260619">  255</a></span>&#160;    SparseLUMatrixUReturnType&lt;SCMatrix,Map&lt;SparseMatrix&lt;Scalar,ColMajor,StorageIndex&gt; &gt; &gt; <a class="code" href="classEigen_1_1SparseLU.html#a37ecd1187e54026c90ff11e5b3260619">matrixU</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;      <span class="keywordflow">return</span> SparseLUMatrixUReturnType&lt;SCMatrix, Map&lt;SparseMatrix&lt;Scalar,ColMajor,StorageIndex&gt; &gt; &gt;(m_Lstore, m_Ustore);</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;    }</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160; </div>
<div class="line"><a name="l00264"></a><span class="lineno"><a class="line" href="classEigen_1_1SparseLU.html#a4169e524654e4a5022f6adc87cb9d121">  264</a></span>&#160;    <span class="keyword">inline</span> <span class="keyword">const</span> <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationType</a>&amp; <a class="code" href="classEigen_1_1SparseLU.html#a4169e524654e4a5022f6adc87cb9d121">rowsPermutation</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;      <span class="keywordflow">return</span> m_perm_r;</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;    }</div>
<div class="line"><a name="l00272"></a><span class="lineno"><a class="line" href="classEigen_1_1SparseLU.html#add2cce3e39c9d25a94a1288268b22cd0">  272</a></span>&#160;    <span class="keyword">inline</span> <span class="keyword">const</span> <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationType</a>&amp; <a class="code" href="classEigen_1_1SparseLU.html#add2cce3e39c9d25a94a1288268b22cd0">colsPermutation</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;      <span class="keywordflow">return</span> m_perm_c;</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;    }</div>
<div class="line"><a name="l00277"></a><span class="lineno"><a class="line" href="classEigen_1_1SparseLU.html#a0ab85d3c48ba0bdfea31754094f7233d">  277</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SparseLU.html#a0ab85d3c48ba0bdfea31754094f7233d">setPivotThreshold</a>(<span class="keyword">const</span> RealScalar&amp; thresh)</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;    {</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;      m_diagpivotthresh = thresh; </div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;    }</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160; </div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;<span class="preprocessor">#ifdef EIGEN_PARSED_BY_DOXYGEN</span></div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Rhs&gt;</div>
<div class="line"><a name="l00290"></a><span class="lineno"><a class="line" href="classEigen_1_1SparseLU.html#ab9a0e1745a960eae7334a59bfc88e536">  290</a></span>&#160;    <span class="keyword">inline</span> <span class="keyword">const</span> <a class="code" href="classEigen_1_1Solve.html">Solve&lt;SparseLU, Rhs&gt;</a> <a class="code" href="classEigen_1_1SparseLU.html#ab9a0e1745a960eae7334a59bfc88e536">solve</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase&lt;Rhs&gt;</a>&amp; B) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;<span class="preprocessor">#endif </span><span class="comment">// EIGEN_PARSED_BY_DOXYGEN</span></div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;    </div>
<div class="line"><a name="l00301"></a><span class="lineno"><a class="line" href="classEigen_1_1SparseLU.html#a619e12b0ec4a3e767c1e797162e23745">  301</a></span>&#160;    <a class="code" href="group__enums.html#ga85fad7b87587764e5cf6b513a9e0ee5e">ComputationInfo</a> <a class="code" href="classEigen_1_1SparseLU.html#a619e12b0ec4a3e767c1e797162e23745">info</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;      eigen_assert(m_isInitialized &amp;&amp; <span class="stringliteral">&quot;Decomposition is not initialized.&quot;</span>);</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;      <span class="keywordflow">return</span> m_info;</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;    }</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;    </div>
<div class="line"><a name="l00310"></a><span class="lineno"><a class="line" href="classEigen_1_1SparseLU.html#a4591a05dc1b025ea2704da6cd1b19dde">  310</a></span>&#160;    std::string <a class="code" href="classEigen_1_1SparseLU.html#a4591a05dc1b025ea2704da6cd1b19dde">lastErrorMessage</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;      <span class="keywordflow">return</span> m_lastError; </div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;    }</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160; </div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Rhs, <span class="keyword">typename</span> Dest&gt;</div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;    <span class="keywordtype">bool</span> _solve_impl(<span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase&lt;Rhs&gt;</a> &amp;B, <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase&lt;Dest&gt;</a> &amp;X_base)<span class="keyword"> const</span></div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;      Dest&amp; X(X_base.<a class="code" href="classEigen_1_1DenseCoeffsBase_3_01Derived_00_01DirectWriteAccessors_01_4.html#a1fbabe7f12bcbfba3b9a448b1f5e46fa">derived</a>());</div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;      eigen_assert(m_factorizationIsOk &amp;&amp; <span class="stringliteral">&quot;The matrix should be factorized first&quot;</span>);</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;      EIGEN_STATIC_ASSERT((Dest::Flags&amp;<a class="code" href="group__flags.html#gae4f56c2a60bbe4bd2e44c5b19cbe8762">RowMajorBit</a>)==0,</div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;                        THIS_METHOD_IS_ONLY_FOR_COLUMN_MAJOR_MATRICES);</div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;      </div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;      <span class="comment">// Permute the right hand side to form X = Pr*B</span></div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;      <span class="comment">// on return, X is overwritten by the computed solution</span></div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;      X.resize(B.<a class="code" href="classEigen_1_1DenseCoeffsBase_3_01Derived_00_01DirectWriteAccessors_01_4.html#ac22eb0695d00edd7d4a3b2d0a98b81c2">rows</a>(),B.<a class="code" href="classEigen_1_1DenseCoeffsBase_3_01Derived_00_01DirectWriteAccessors_01_4.html#a2d768a9877f5f69f49432d447b552bfe">cols</a>());</div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160; </div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;      <span class="comment">// this ugly const_cast_derived() helps to detect aliasing when applying the permutations</span></div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;      <span class="keywordflow">for</span>(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> j = 0; j &lt; B.<a class="code" href="classEigen_1_1DenseCoeffsBase_3_01Derived_00_01DirectWriteAccessors_01_4.html#a2d768a9877f5f69f49432d447b552bfe">cols</a>(); ++j)</div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;        X.col(j) = <a class="code" href="classEigen_1_1SparseLU.html#a4169e524654e4a5022f6adc87cb9d121">rowsPermutation</a>() * B.const_cast_derived().col(j);</div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;      </div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;      <span class="comment">//Forward substitution with L</span></div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;      this-&gt;<a class="code" href="classEigen_1_1SparseLU.html#a5082b9d812d665521473c6c350c83495">matrixL</a>().solveInPlace(X);</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;      this-&gt;<a class="code" href="classEigen_1_1SparseLU.html#a37ecd1187e54026c90ff11e5b3260619">matrixU</a>().solveInPlace(X);</div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;      </div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;      <span class="comment">// Permute back the solution </span></div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;      <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> j = 0; j &lt; B.<a class="code" href="classEigen_1_1DenseCoeffsBase_3_01Derived_00_01DirectWriteAccessors_01_4.html#a2d768a9877f5f69f49432d447b552bfe">cols</a>(); ++j)</div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;        X.col(j) = <a class="code" href="classEigen_1_1SparseLU.html#add2cce3e39c9d25a94a1288268b22cd0">colsPermutation</a>().<a class="code" href="classEigen_1_1PermutationBase.html#adb9af427f317202366c2832876064eb3">inverse</a>() * X.col(j);</div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;      </div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;      <span class="keywordflow">return</span> <span class="keyword">true</span>; </div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;    }</div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;    </div>
<div class="line"><a name="l00352"></a><span class="lineno"><a class="line" href="classEigen_1_1SparseLU.html#a9607aab8ecb951b12a80dce2c39f44e8">  352</a></span>&#160;    Scalar <a class="code" href="classEigen_1_1SparseLU.html#a9607aab8ecb951b12a80dce2c39f44e8">absDeterminant</a>()</div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;    {</div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;      <span class="keyword">using</span> std::abs;</div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;      eigen_assert(m_factorizationIsOk &amp;&amp; <span class="stringliteral">&quot;The matrix should be factorized first.&quot;</span>);</div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;      <span class="comment">// Initialize with the determinant of the row matrix</span></div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;      Scalar det = Scalar(1.);</div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;      <span class="comment">// Note that the diagonal blocks of U are stored in supernodes,</span></div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;      <span class="comment">// which are available in the  L part :)</span></div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;      <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> j = 0; j &lt; this-&gt;cols(); ++j)</div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;      {</div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;        <span class="keywordflow">for</span> (<span class="keyword">typename</span> SCMatrix::InnerIterator it(m_Lstore, j); it; ++it)</div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;        {</div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;          <span class="keywordflow">if</span>(it.index() == j)</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;          {</div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;            det *= <a class="code" href="namespaceEigen.html#ae27242789e7e62a8c42579b79be59b1a">abs</a>(it.value());</div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;            <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;          }</div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;        }</div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;      }</div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;      <span class="keywordflow">return</span> det;</div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;    }</div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160; </div>
<div class="line"><a name="l00382"></a><span class="lineno"><a class="line" href="classEigen_1_1SparseLU.html#a0b776be947c48a76d48f234fa6bf84da">  382</a></span>&#160;    Scalar <a class="code" href="classEigen_1_1SparseLU.html#a0b776be947c48a76d48f234fa6bf84da">logAbsDeterminant</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;      <span class="keyword">using</span> std::log;</div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;      <span class="keyword">using</span> std::abs;</div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160; </div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;      eigen_assert(m_factorizationIsOk &amp;&amp; <span class="stringliteral">&quot;The matrix should be factorized first.&quot;</span>);</div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;      Scalar det = Scalar(0.);</div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;      <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> j = 0; j &lt; this-&gt;cols(); ++j)</div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;      {</div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;        <span class="keywordflow">for</span> (<span class="keyword">typename</span> SCMatrix::InnerIterator it(m_Lstore, j); it; ++it)</div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;        {</div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;          <span class="keywordflow">if</span>(it.row() &lt; j) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;          <span class="keywordflow">if</span>(it.row() == j)</div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;          {</div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;            det += <a class="code" href="namespaceEigen.html#ae8bb75ba4f5f30a7571146dbfa653c6d">log</a>(<a class="code" href="namespaceEigen.html#ae27242789e7e62a8c42579b79be59b1a">abs</a>(it.value()));</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;            <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;          }</div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;        }</div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;      }</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;      <span class="keywordflow">return</span> det;</div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;    }</div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160; </div>
<div class="line"><a name="l00408"></a><span class="lineno"><a class="line" href="classEigen_1_1SparseLU.html#a66e90fafa69e65e84c0f5fb76d6f39f8">  408</a></span>&#160;    Scalar <a class="code" href="classEigen_1_1SparseLU.html#a66e90fafa69e65e84c0f5fb76d6f39f8">signDeterminant</a>()</div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;    {</div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;      eigen_assert(m_factorizationIsOk &amp;&amp; <span class="stringliteral">&quot;The matrix should be factorized first.&quot;</span>);</div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;      <span class="comment">// Initialize with the determinant of the row matrix</span></div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;      <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> det = 1;</div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;      <span class="comment">// Note that the diagonal blocks of U are stored in supernodes,</span></div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;      <span class="comment">// which are available in the  L part :)</span></div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;      <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> j = 0; j &lt; this-&gt;cols(); ++j)</div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;      {</div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;        <span class="keywordflow">for</span> (<span class="keyword">typename</span> SCMatrix::InnerIterator it(m_Lstore, j); it; ++it)</div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;        {</div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;          <span class="keywordflow">if</span>(it.index() == j)</div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;          {</div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;            <span class="keywordflow">if</span>(it.value()&lt;0)</div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;              det = -det;</div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;            <span class="keywordflow">else</span> <span class="keywordflow">if</span>(it.value()==0)</div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;              <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;            <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;          }</div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;        }</div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;      }</div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;      <span class="keywordflow">return</span> det * m_detPermR * m_detPermC;</div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;    }</div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;    </div>
<div class="line"><a name="l00436"></a><span class="lineno"><a class="line" href="classEigen_1_1SparseLU.html#aeccf9472f094f27f508a69526de44946">  436</a></span>&#160;    Scalar <a class="code" href="classEigen_1_1SparseLU.html#aeccf9472f094f27f508a69526de44946">determinant</a>()</div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;    {</div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;      eigen_assert(m_factorizationIsOk &amp;&amp; <span class="stringliteral">&quot;The matrix should be factorized first.&quot;</span>);</div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;      <span class="comment">// Initialize with the determinant of the row matrix</span></div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;      Scalar det = Scalar(1.);</div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;      <span class="comment">// Note that the diagonal blocks of U are stored in supernodes,</span></div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;      <span class="comment">// which are available in the  L part :)</span></div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;      <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> j = 0; j &lt; this-&gt;cols(); ++j)</div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;      {</div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;        <span class="keywordflow">for</span> (<span class="keyword">typename</span> SCMatrix::InnerIterator it(m_Lstore, j); it; ++it)</div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;        {</div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;          <span class="keywordflow">if</span>(it.index() == j)</div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;          {</div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;            det *= it.value();</div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;            <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;          }</div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;        }</div>
<div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;      }</div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;      <span class="keywordflow">return</span> (m_detPermR * m_detPermC) &gt; 0 ? det : -det;</div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;    }</div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160; </div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;    <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> nnzL()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_nnzL; }</div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;    <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> nnzU()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_nnzU; }</div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160; </div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;    <span class="comment">// Functions </span></div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;    <span class="keywordtype">void</span> initperfvalues()</div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;    {</div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;      m_perfv.panel_size = 16;</div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;      m_perfv.relax = 1; </div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;      m_perfv.maxsuper = 128; </div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;      m_perfv.rowblk = 16; </div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;      m_perfv.colblk = 8; </div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;      m_perfv.fillfactor = 20;  </div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;    }</div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;      </div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;    <span class="comment">// Variables </span></div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;    <span class="keyword">mutable</span> <a class="code" href="group__enums.html#ga85fad7b87587764e5cf6b513a9e0ee5e">ComputationInfo</a> m_info;</div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;    <span class="keywordtype">bool</span> m_factorizationIsOk;</div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;    <span class="keywordtype">bool</span> m_analysisIsOk;</div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;    std::string m_lastError;</div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;    NCMatrix m_mat; <span class="comment">// The input (permuted ) matrix </span></div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;    SCMatrix m_Lstore; <span class="comment">// The lower triangular matrix (supernodal)</span></div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;    Map&lt;SparseMatrix&lt;Scalar,ColMajor,StorageIndex&gt;&gt; m_Ustore; <span class="comment">// The upper triangular matrix</span></div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;    PermutationType m_perm_c; <span class="comment">// Column permutation </span></div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;    PermutationType m_perm_r ; <span class="comment">// Row permutation</span></div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;    IndexVector m_etree; <span class="comment">// Column elimination tree </span></div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;    </div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;    <span class="keyword">typename</span> Base::GlobalLU_t m_glu; </div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;                               </div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;    <span class="comment">// SparseLU options </span></div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;    <span class="keywordtype">bool</span> m_symmetricmode;</div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;    <span class="comment">// values for performance </span></div>
<div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;    internal::perfvalues m_perfv;</div>
<div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;    RealScalar m_diagpivotthresh; <span class="comment">// Specifies the threshold used for a diagonal entry to be an acceptable pivot</span></div>
<div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;    <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> m_nnzL, m_nnzU; <span class="comment">// Nonzeros in L and U factors</span></div>
<div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;    <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> m_detPermR, m_detPermC; <span class="comment">// Determinants of the permutation matrices</span></div>
<div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;    <span class="comment">// Disable copy constructor </span></div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;    SparseLU (<span class="keyword">const</span> SparseLU&amp; );</div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;}; <span class="comment">// End class SparseLU</span></div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160; </div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160; </div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160; </div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;<span class="comment">// Functions needed by the anaysis phase</span></div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;<span class="comment"></span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> OrderingType&gt;</div>
<div class="line"><a name="l00512"></a><span class="lineno"><a class="line" href="classEigen_1_1SparseLU.html#aa907ff958c4f4855145091d2686f3a8a">  512</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SparseLU.html#aa907ff958c4f4855145091d2686f3a8a">SparseLU&lt;MatrixType, OrderingType&gt;::analyzePattern</a>(<span class="keyword">const</span> MatrixType&amp; mat)</div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;{</div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;  </div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;  <span class="comment">//TODO  It is possible as in SuperLU to compute row and columns scaling vectors to equilibrate the matrix mat.</span></div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;  </div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;  <span class="comment">// Firstly, copy the whole input matrix. </span></div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;  m_mat = mat;</div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;  </div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;  <span class="comment">// Compute fill-in ordering</span></div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;  OrderingType ord; </div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;  ord(m_mat,m_perm_c);</div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;  </div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;  <span class="comment">// Apply the permutation to the column of the input  matrix</span></div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;  <span class="keywordflow">if</span> (m_perm_c.size())</div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;  {</div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;    m_mat.uncompress(); <span class="comment">//NOTE: The effect of this command is only to create the InnerNonzeros pointers. FIXME : This vector is filled but not subsequently used.  </span></div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;    <span class="comment">// Then, permute only the column pointers</span></div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160;    ei_declare_aligned_stack_constructed_variable(StorageIndex,outerIndexPtr,mat.cols()+1,mat.isCompressed()?<span class="keyword">const_cast&lt;</span>StorageIndex*<span class="keyword">&gt;</span>(mat.outerIndexPtr()):0);</div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;    </div>
<div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;    <span class="comment">// If the input matrix &#39;mat&#39; is uncompressed, then the outer-indices do not match the ones of m_mat, and a copy is thus needed.</span></div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;    <span class="keywordflow">if</span>(!mat.isCompressed()) </div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;      IndexVector::Map(outerIndexPtr, mat.cols()+1) = IndexVector::Map(m_mat.outerIndexPtr(),mat.cols()+1);</div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;    </div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;    <span class="comment">// Apply the permutation and compute the nnz per column.</span></div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;    <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> i = 0; i &lt; mat.cols(); i++)</div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;    {</div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;      m_mat.outerIndexPtr()[m_perm_c.indices()(i)] = outerIndexPtr[i];</div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;      m_mat.innerNonZeroPtr()[m_perm_c.indices()(i)] = outerIndexPtr[i+1] - outerIndexPtr[i];</div>
<div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;    }</div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160;  }</div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;  </div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;  <span class="comment">// Compute the column elimination tree of the permuted matrix </span></div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;  <a class="code" href="classEigen_1_1Matrix.html">IndexVector</a> firstRowElt;</div>
<div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;  internal::coletree(m_mat, m_etree,firstRowElt); </div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;     </div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;  <span class="comment">// In symmetric mode, do not do postorder here</span></div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;  <span class="keywordflow">if</span> (!m_symmetricmode) {</div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;    <a class="code" href="classEigen_1_1Matrix.html">IndexVector</a> post, iwork; </div>
<div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;    <span class="comment">// Post order etree</span></div>
<div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;    internal::treePostorder(StorageIndex(m_mat.cols()), m_etree, post); </div>
<div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;      </div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;   </div>
<div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;    <span class="comment">// Renumber etree in postorder </span></div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;    <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> m = m_mat.cols(); </div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;    iwork.<a class="code" href="classEigen_1_1PlainObjectBase.html#a9fd0703bd7bfe89d6dc80e2ce87c312a">resize</a>(m+1);</div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;    <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> i = 0; i &lt; m; ++i) iwork(post(i)) = post(m_etree(i));</div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;    m_etree = iwork;</div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;    </div>
<div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;    <span class="comment">// Postmultiply A*Pc by post, i.e reorder the matrix according to the postorder of the etree</span></div>
<div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;    <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationType</a> post_perm(m); </div>
<div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160;    <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> i = 0; i &lt; m; i++) </div>
<div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;      post_perm.<a class="code" href="classEigen_1_1PermutationMatrix.html#a72dc844cf42b997e4e58adf13a4f0bde">indices</a>()(i) = post(i); </div>
<div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;        </div>
<div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;    <span class="comment">// Combine the two permutations : postorder the permutation for future use</span></div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;    <span class="keywordflow">if</span>(m_perm_c.size()) {</div>
<div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;      m_perm_c = post_perm * m_perm_c;</div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;    }</div>
<div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;    </div>
<div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;  } <span class="comment">// end postordering </span></div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;  </div>
<div class="line"><a name="l00572"></a><span class="lineno">  572</span>&#160;  m_analysisIsOk = <span class="keyword">true</span>; </div>
<div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;}</div>
<div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160; </div>
<div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160;<span class="comment">// Functions needed by the numerical factorization phase</span></div>
<div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160; </div>
<div class="line"><a name="l00577"></a><span class="lineno">  577</span>&#160; </div>
<div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> OrderingType&gt;</div>
<div class="line"><a name="l00597"></a><span class="lineno"><a class="line" href="classEigen_1_1SparseLU.html#a39858b0e72f2659d596364e252b34cbc">  597</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SparseLU.html#a39858b0e72f2659d596364e252b34cbc">SparseLU&lt;MatrixType, OrderingType&gt;::factorize</a>(<span class="keyword">const</span> MatrixType&amp; matrix)</div>
<div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;{</div>
<div class="line"><a name="l00599"></a><span class="lineno">  599</span>&#160;  <span class="keyword">using</span> internal::emptyIdxLU;</div>
<div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;  eigen_assert(m_analysisIsOk &amp;&amp; <span class="stringliteral">&quot;analyzePattern() should be called first&quot;</span>); </div>
<div class="line"><a name="l00601"></a><span class="lineno">  601</span>&#160;  eigen_assert((matrix.rows() == matrix.cols()) &amp;&amp; <span class="stringliteral">&quot;Only for squared matrices&quot;</span>);</div>
<div class="line"><a name="l00602"></a><span class="lineno">  602</span>&#160;  </div>
<div class="line"><a name="l00603"></a><span class="lineno">  603</span>&#160;  m_isInitialized = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00604"></a><span class="lineno">  604</span>&#160;  </div>
<div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160;  <span class="comment">// Apply the column permutation computed in analyzepattern()</span></div>
<div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160;  <span class="comment">//   m_mat = matrix * m_perm_c.inverse(); </span></div>
<div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160;  m_mat = matrix;</div>
<div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160;  <span class="keywordflow">if</span> (m_perm_c.size()) </div>
<div class="line"><a name="l00609"></a><span class="lineno">  609</span>&#160;  {</div>
<div class="line"><a name="l00610"></a><span class="lineno">  610</span>&#160;    m_mat.uncompress(); <span class="comment">//NOTE: The effect of this command is only to create the InnerNonzeros pointers.</span></div>
<div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160;    <span class="comment">//Then, permute only the column pointers</span></div>
<div class="line"><a name="l00612"></a><span class="lineno">  612</span>&#160;    <span class="keyword">const</span> StorageIndex * outerIndexPtr;</div>
<div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;    <span class="keywordflow">if</span> (matrix.isCompressed()) outerIndexPtr = matrix.outerIndexPtr();</div>
<div class="line"><a name="l00614"></a><span class="lineno">  614</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00615"></a><span class="lineno">  615</span>&#160;    {</div>
<div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;      StorageIndex* outerIndexPtr_t = <span class="keyword">new</span> StorageIndex[matrix.cols()+1];</div>
<div class="line"><a name="l00617"></a><span class="lineno">  617</span>&#160;      <span class="keywordflow">for</span>(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> i = 0; i &lt;= matrix.cols(); i++) outerIndexPtr_t[i] = m_mat.outerIndexPtr()[i];</div>
<div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160;      outerIndexPtr = outerIndexPtr_t;</div>
<div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;    }</div>
<div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160;    <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> i = 0; i &lt; matrix.cols(); i++)</div>
<div class="line"><a name="l00621"></a><span class="lineno">  621</span>&#160;    {</div>
<div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160;      m_mat.outerIndexPtr()[m_perm_c.indices()(i)] = outerIndexPtr[i];</div>
<div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160;      m_mat.innerNonZeroPtr()[m_perm_c.indices()(i)] = outerIndexPtr[i+1] - outerIndexPtr[i];</div>
<div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;    }</div>
<div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;    <span class="keywordflow">if</span>(!matrix.isCompressed()) <span class="keyword">delete</span>[] outerIndexPtr;</div>
<div class="line"><a name="l00626"></a><span class="lineno">  626</span>&#160;  } </div>
<div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160;  <span class="keywordflow">else</span> </div>
<div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160;  { <span class="comment">//FIXME This should not be needed if the empty permutation is handled transparently</span></div>
<div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160;    m_perm_c.resize(matrix.cols());</div>
<div class="line"><a name="l00630"></a><span class="lineno">  630</span>&#160;    <span class="keywordflow">for</span>(StorageIndex i = 0; i &lt; matrix.cols(); ++i) m_perm_c.indices()(i) = i;</div>
<div class="line"><a name="l00631"></a><span class="lineno">  631</span>&#160;  }</div>
<div class="line"><a name="l00632"></a><span class="lineno">  632</span>&#160;  </div>
<div class="line"><a name="l00633"></a><span class="lineno">  633</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> m = m_mat.rows();</div>
<div class="line"><a name="l00634"></a><span class="lineno">  634</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> n = m_mat.cols();</div>
<div class="line"><a name="l00635"></a><span class="lineno">  635</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> nnz = m_mat.nonZeros();</div>
<div class="line"><a name="l00636"></a><span class="lineno">  636</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> maxpanel = m_perfv.panel_size * m;</div>
<div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;  <span class="comment">// Allocate working storage common to the factor routines</span></div>
<div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> lwork = 0;</div>
<div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> info = Base::memInit(m, n, nnz, lwork, m_perfv.fillfactor, m_perfv.panel_size, m_glu); </div>
<div class="line"><a name="l00640"></a><span class="lineno">  640</span>&#160;  <span class="keywordflow">if</span> (info) </div>
<div class="line"><a name="l00641"></a><span class="lineno">  641</span>&#160;  {</div>
<div class="line"><a name="l00642"></a><span class="lineno">  642</span>&#160;    m_lastError = <span class="stringliteral">&quot;UNABLE TO ALLOCATE WORKING MEMORY\n\n&quot;</span> ;</div>
<div class="line"><a name="l00643"></a><span class="lineno">  643</span>&#160;    m_factorizationIsOk = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00644"></a><span class="lineno">  644</span>&#160;    return ; </div>
<div class="line"><a name="l00645"></a><span class="lineno">  645</span>&#160;  }</div>
<div class="line"><a name="l00646"></a><span class="lineno">  646</span>&#160;  </div>
<div class="line"><a name="l00647"></a><span class="lineno">  647</span>&#160;  <span class="comment">// Set up pointers for integer working arrays </span></div>
<div class="line"><a name="l00648"></a><span class="lineno">  648</span>&#160;  <a class="code" href="classEigen_1_1Matrix.html">IndexVector</a> segrep(m); segrep.<a class="code" href="classEigen_1_1PlainObjectBase.html#acc39eaf7ba22b725c86f1b9b8bb57c3c">setZero</a>();</div>
<div class="line"><a name="l00649"></a><span class="lineno">  649</span>&#160;  <a class="code" href="classEigen_1_1Matrix.html">IndexVector</a> parent(m); parent.<a class="code" href="classEigen_1_1PlainObjectBase.html#acc39eaf7ba22b725c86f1b9b8bb57c3c">setZero</a>();</div>
<div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;  <a class="code" href="classEigen_1_1Matrix.html">IndexVector</a> xplore(m); xplore.<a class="code" href="classEigen_1_1PlainObjectBase.html#acc39eaf7ba22b725c86f1b9b8bb57c3c">setZero</a>();</div>
<div class="line"><a name="l00651"></a><span class="lineno">  651</span>&#160;  <a class="code" href="classEigen_1_1Matrix.html">IndexVector</a> repfnz(maxpanel);</div>
<div class="line"><a name="l00652"></a><span class="lineno">  652</span>&#160;  <a class="code" href="classEigen_1_1Matrix.html">IndexVector</a> panel_lsub(maxpanel);</div>
<div class="line"><a name="l00653"></a><span class="lineno">  653</span>&#160;  <a class="code" href="classEigen_1_1Matrix.html">IndexVector</a> xprune(n); xprune.<a class="code" href="classEigen_1_1PlainObjectBase.html#acc39eaf7ba22b725c86f1b9b8bb57c3c">setZero</a>();</div>
<div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;  <a class="code" href="classEigen_1_1Matrix.html">IndexVector</a> marker(m*internal::LUNoMarker); marker.<a class="code" href="classEigen_1_1PlainObjectBase.html#acc39eaf7ba22b725c86f1b9b8bb57c3c">setZero</a>();</div>
<div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;  </div>
<div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160;  repfnz.<a class="code" href="classEigen_1_1PlainObjectBase.html#aac6bc5261783ec3008a51c2654de73e8">setConstant</a>(-1); </div>
<div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;  panel_lsub.<a class="code" href="classEigen_1_1PlainObjectBase.html#aac6bc5261783ec3008a51c2654de73e8">setConstant</a>(-1);</div>
<div class="line"><a name="l00658"></a><span class="lineno">  658</span>&#160;  </div>
<div class="line"><a name="l00659"></a><span class="lineno">  659</span>&#160;  <span class="comment">// Set up pointers for scalar working arrays </span></div>
<div class="line"><a name="l00660"></a><span class="lineno">  660</span>&#160;  <a class="code" href="classEigen_1_1Matrix.html">ScalarVector</a> dense; </div>
<div class="line"><a name="l00661"></a><span class="lineno">  661</span>&#160;  dense.<a class="code" href="classEigen_1_1PlainObjectBase.html#acc39eaf7ba22b725c86f1b9b8bb57c3c">setZero</a>(maxpanel);</div>
<div class="line"><a name="l00662"></a><span class="lineno">  662</span>&#160;  <a class="code" href="classEigen_1_1Matrix.html">ScalarVector</a> tempv; </div>
<div class="line"><a name="l00663"></a><span class="lineno">  663</span>&#160;  tempv.<a class="code" href="classEigen_1_1PlainObjectBase.html#acc39eaf7ba22b725c86f1b9b8bb57c3c">setZero</a>(internal::LUnumTempV(m, m_perfv.panel_size, m_perfv.maxsuper, <span class="comment">/*m_perfv.rowblk*/</span>m) );</div>
<div class="line"><a name="l00664"></a><span class="lineno">  664</span>&#160;  </div>
<div class="line"><a name="l00665"></a><span class="lineno">  665</span>&#160;  <span class="comment">// Compute the inverse of perm_c</span></div>
<div class="line"><a name="l00666"></a><span class="lineno">  666</span>&#160;  <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationType</a> iperm_c(m_perm_c.inverse()); </div>
<div class="line"><a name="l00667"></a><span class="lineno">  667</span>&#160;  </div>
<div class="line"><a name="l00668"></a><span class="lineno">  668</span>&#160;  <span class="comment">// Identify initial relaxed snodes</span></div>
<div class="line"><a name="l00669"></a><span class="lineno">  669</span>&#160;  <a class="code" href="classEigen_1_1Matrix.html">IndexVector</a> relax_end(n);</div>
<div class="line"><a name="l00670"></a><span class="lineno">  670</span>&#160;  <span class="keywordflow">if</span> ( m_symmetricmode == <span class="keyword">true</span> ) </div>
<div class="line"><a name="l00671"></a><span class="lineno">  671</span>&#160;    Base::heap_relax_snode(n, m_etree, m_perfv.relax, marker, relax_end);</div>
<div class="line"><a name="l00672"></a><span class="lineno">  672</span>&#160;  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00673"></a><span class="lineno">  673</span>&#160;    Base::relax_snode(n, m_etree, m_perfv.relax, marker, relax_end);</div>
<div class="line"><a name="l00674"></a><span class="lineno">  674</span>&#160;  </div>
<div class="line"><a name="l00675"></a><span class="lineno">  675</span>&#160;  </div>
<div class="line"><a name="l00676"></a><span class="lineno">  676</span>&#160;  m_perm_r.resize(m); </div>
<div class="line"><a name="l00677"></a><span class="lineno">  677</span>&#160;  m_perm_r.indices().setConstant(-1);</div>
<div class="line"><a name="l00678"></a><span class="lineno">  678</span>&#160;  marker.<a class="code" href="classEigen_1_1PlainObjectBase.html#aac6bc5261783ec3008a51c2654de73e8">setConstant</a>(-1);</div>
<div class="line"><a name="l00679"></a><span class="lineno">  679</span>&#160;  m_detPermR = 1; <span class="comment">// Record the determinant of the row permutation</span></div>
<div class="line"><a name="l00680"></a><span class="lineno">  680</span>&#160;  </div>
<div class="line"><a name="l00681"></a><span class="lineno">  681</span>&#160;  m_glu.supno(0) = emptyIdxLU; m_glu.xsup.setConstant(0);</div>
<div class="line"><a name="l00682"></a><span class="lineno">  682</span>&#160;  m_glu.xsup(0) = m_glu.xlsub(0) = m_glu.xusub(0) = m_glu.xlusup(0) = <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a>(0);</div>
<div class="line"><a name="l00683"></a><span class="lineno">  683</span>&#160;  </div>
<div class="line"><a name="l00684"></a><span class="lineno">  684</span>&#160;  <span class="comment">// Work on one &#39;panel&#39; at a time. A panel is one of the following :</span></div>
<div class="line"><a name="l00685"></a><span class="lineno">  685</span>&#160;  <span class="comment">//  (a) a relaxed supernode at the bottom of the etree, or</span></div>
<div class="line"><a name="l00686"></a><span class="lineno">  686</span>&#160;  <span class="comment">//  (b) panel_size contiguous columns, &lt;panel_size&gt; defined by the user</span></div>
<div class="line"><a name="l00687"></a><span class="lineno">  687</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> jcol; </div>
<div class="line"><a name="l00688"></a><span class="lineno">  688</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> pivrow; <span class="comment">// Pivotal row number in the original row matrix</span></div>
<div class="line"><a name="l00689"></a><span class="lineno">  689</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> nseg1; <span class="comment">// Number of segments in U-column above panel row jcol</span></div>
<div class="line"><a name="l00690"></a><span class="lineno">  690</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> nseg; <span class="comment">// Number of segments in each U-column </span></div>
<div class="line"><a name="l00691"></a><span class="lineno">  691</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> irep; </div>
<div class="line"><a name="l00692"></a><span class="lineno">  692</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> i, k, jj; </div>
<div class="line"><a name="l00693"></a><span class="lineno">  693</span>&#160;  <span class="keywordflow">for</span> (jcol = 0; jcol &lt; n; )</div>
<div class="line"><a name="l00694"></a><span class="lineno">  694</span>&#160;  {</div>
<div class="line"><a name="l00695"></a><span class="lineno">  695</span>&#160;    <span class="comment">// Adjust panel size so that a panel won&#39;t overlap with the next relaxed snode. </span></div>
<div class="line"><a name="l00696"></a><span class="lineno">  696</span>&#160;    <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> panel_size = m_perfv.panel_size; <span class="comment">// upper bound on panel width</span></div>
<div class="line"><a name="l00697"></a><span class="lineno">  697</span>&#160;    <span class="keywordflow">for</span> (k = jcol + 1; k &lt; (std::min)(jcol+panel_size, n); k++)</div>
<div class="line"><a name="l00698"></a><span class="lineno">  698</span>&#160;    {</div>
<div class="line"><a name="l00699"></a><span class="lineno">  699</span>&#160;      <span class="keywordflow">if</span> (relax_end(k) != emptyIdxLU) </div>
<div class="line"><a name="l00700"></a><span class="lineno">  700</span>&#160;      {</div>
<div class="line"><a name="l00701"></a><span class="lineno">  701</span>&#160;        panel_size = k - jcol; </div>
<div class="line"><a name="l00702"></a><span class="lineno">  702</span>&#160;        <span class="keywordflow">break</span>; </div>
<div class="line"><a name="l00703"></a><span class="lineno">  703</span>&#160;      }</div>
<div class="line"><a name="l00704"></a><span class="lineno">  704</span>&#160;    }</div>
<div class="line"><a name="l00705"></a><span class="lineno">  705</span>&#160;    <span class="keywordflow">if</span> (k == n) </div>
<div class="line"><a name="l00706"></a><span class="lineno">  706</span>&#160;      panel_size = n - jcol; </div>
<div class="line"><a name="l00707"></a><span class="lineno">  707</span>&#160;      </div>
<div class="line"><a name="l00708"></a><span class="lineno">  708</span>&#160;    <span class="comment">// Symbolic outer factorization on a panel of columns </span></div>
<div class="line"><a name="l00709"></a><span class="lineno">  709</span>&#160;    Base::panel_dfs(m, panel_size, jcol, m_mat, m_perm_r.indices(), nseg1, dense, panel_lsub, segrep, repfnz, xprune, marker, parent, xplore, m_glu); </div>
<div class="line"><a name="l00710"></a><span class="lineno">  710</span>&#160;    </div>
<div class="line"><a name="l00711"></a><span class="lineno">  711</span>&#160;    <span class="comment">// Numeric sup-panel updates in topological order </span></div>
<div class="line"><a name="l00712"></a><span class="lineno">  712</span>&#160;    Base::panel_bmod(m, panel_size, jcol, nseg1, dense, tempv, segrep, repfnz, m_glu); </div>
<div class="line"><a name="l00713"></a><span class="lineno">  713</span>&#160;    </div>
<div class="line"><a name="l00714"></a><span class="lineno">  714</span>&#160;    <span class="comment">// Sparse LU within the panel, and below the panel diagonal </span></div>
<div class="line"><a name="l00715"></a><span class="lineno">  715</span>&#160;    <span class="keywordflow">for</span> ( jj = jcol; jj&lt; jcol + panel_size; jj++) </div>
<div class="line"><a name="l00716"></a><span class="lineno">  716</span>&#160;    {</div>
<div class="line"><a name="l00717"></a><span class="lineno">  717</span>&#160;      k = (jj - jcol) * m; <span class="comment">// Column index for w-wide arrays </span></div>
<div class="line"><a name="l00718"></a><span class="lineno">  718</span>&#160;      </div>
<div class="line"><a name="l00719"></a><span class="lineno">  719</span>&#160;      nseg = nseg1; <span class="comment">// begin after all the panel segments</span></div>
<div class="line"><a name="l00720"></a><span class="lineno">  720</span>&#160;      <span class="comment">//Depth-first-search for the current column</span></div>
<div class="line"><a name="l00721"></a><span class="lineno">  721</span>&#160;      <a class="code" href="classEigen_1_1VectorBlock.html">VectorBlock&lt;IndexVector&gt;</a> panel_lsubk(panel_lsub, k, m);</div>
<div class="line"><a name="l00722"></a><span class="lineno">  722</span>&#160;      <a class="code" href="classEigen_1_1VectorBlock.html">VectorBlock&lt;IndexVector&gt;</a> repfnz_k(repfnz, k, m); </div>
<div class="line"><a name="l00723"></a><span class="lineno">  723</span>&#160;      info = Base::column_dfs(m, jj, m_perm_r.indices(), m_perfv.maxsuper, nseg, panel_lsubk, segrep, repfnz_k, xprune, marker, parent, xplore, m_glu); </div>
<div class="line"><a name="l00724"></a><span class="lineno">  724</span>&#160;      <span class="keywordflow">if</span> ( info ) </div>
<div class="line"><a name="l00725"></a><span class="lineno">  725</span>&#160;      {</div>
<div class="line"><a name="l00726"></a><span class="lineno">  726</span>&#160;        m_lastError =  <span class="stringliteral">&quot;UNABLE TO EXPAND MEMORY IN COLUMN_DFS() &quot;</span>;</div>
<div class="line"><a name="l00727"></a><span class="lineno">  727</span>&#160;        m_info = <a class="code" href="group__enums.html#gga85fad7b87587764e5cf6b513a9e0ee5ea1c6e20706575a629b27a105f07f1883b">NumericalIssue</a>; </div>
<div class="line"><a name="l00728"></a><span class="lineno">  728</span>&#160;        m_factorizationIsOk = <span class="keyword">false</span>; </div>
<div class="line"><a name="l00729"></a><span class="lineno">  729</span>&#160;        <span class="keywordflow">return</span>; </div>
<div class="line"><a name="l00730"></a><span class="lineno">  730</span>&#160;      }</div>
<div class="line"><a name="l00731"></a><span class="lineno">  731</span>&#160;      <span class="comment">// Numeric updates to this column </span></div>
<div class="line"><a name="l00732"></a><span class="lineno">  732</span>&#160;      <a class="code" href="classEigen_1_1VectorBlock.html">VectorBlock&lt;ScalarVector&gt;</a> dense_k(dense, k, m); </div>
<div class="line"><a name="l00733"></a><span class="lineno">  733</span>&#160;      <a class="code" href="classEigen_1_1VectorBlock.html">VectorBlock&lt;IndexVector&gt;</a> segrep_k(segrep, nseg1, m-nseg1); </div>
<div class="line"><a name="l00734"></a><span class="lineno">  734</span>&#160;      info = Base::column_bmod(jj, (nseg - nseg1), dense_k, tempv, segrep_k, repfnz_k, jcol, m_glu); </div>
<div class="line"><a name="l00735"></a><span class="lineno">  735</span>&#160;      <span class="keywordflow">if</span> ( info ) </div>
<div class="line"><a name="l00736"></a><span class="lineno">  736</span>&#160;      {</div>
<div class="line"><a name="l00737"></a><span class="lineno">  737</span>&#160;        m_lastError = <span class="stringliteral">&quot;UNABLE TO EXPAND MEMORY IN COLUMN_BMOD() &quot;</span>;</div>
<div class="line"><a name="l00738"></a><span class="lineno">  738</span>&#160;        m_info = <a class="code" href="group__enums.html#gga85fad7b87587764e5cf6b513a9e0ee5ea1c6e20706575a629b27a105f07f1883b">NumericalIssue</a>; </div>
<div class="line"><a name="l00739"></a><span class="lineno">  739</span>&#160;        m_factorizationIsOk = <span class="keyword">false</span>; </div>
<div class="line"><a name="l00740"></a><span class="lineno">  740</span>&#160;        <span class="keywordflow">return</span>; </div>
<div class="line"><a name="l00741"></a><span class="lineno">  741</span>&#160;      }</div>
<div class="line"><a name="l00742"></a><span class="lineno">  742</span>&#160;      </div>
<div class="line"><a name="l00743"></a><span class="lineno">  743</span>&#160;      <span class="comment">// Copy the U-segments to ucol(*)</span></div>
<div class="line"><a name="l00744"></a><span class="lineno">  744</span>&#160;      info = Base::copy_to_ucol(jj, nseg, segrep, repfnz_k ,m_perm_r.indices(), dense_k, m_glu); </div>
<div class="line"><a name="l00745"></a><span class="lineno">  745</span>&#160;      <span class="keywordflow">if</span> ( info ) </div>
<div class="line"><a name="l00746"></a><span class="lineno">  746</span>&#160;      {</div>
<div class="line"><a name="l00747"></a><span class="lineno">  747</span>&#160;        m_lastError = <span class="stringliteral">&quot;UNABLE TO EXPAND MEMORY IN COPY_TO_UCOL() &quot;</span>;</div>
<div class="line"><a name="l00748"></a><span class="lineno">  748</span>&#160;        m_info = <a class="code" href="group__enums.html#gga85fad7b87587764e5cf6b513a9e0ee5ea1c6e20706575a629b27a105f07f1883b">NumericalIssue</a>; </div>
<div class="line"><a name="l00749"></a><span class="lineno">  749</span>&#160;        m_factorizationIsOk = <span class="keyword">false</span>; </div>
<div class="line"><a name="l00750"></a><span class="lineno">  750</span>&#160;        <span class="keywordflow">return</span>; </div>
<div class="line"><a name="l00751"></a><span class="lineno">  751</span>&#160;      }</div>
<div class="line"><a name="l00752"></a><span class="lineno">  752</span>&#160;      </div>
<div class="line"><a name="l00753"></a><span class="lineno">  753</span>&#160;      <span class="comment">// Form the L-segment </span></div>
<div class="line"><a name="l00754"></a><span class="lineno">  754</span>&#160;      info = Base::pivotL(jj, m_diagpivotthresh, m_perm_r.indices(), iperm_c.<a class="code" href="classEigen_1_1PermutationMatrix.html#a72dc844cf42b997e4e58adf13a4f0bde">indices</a>(), pivrow, m_glu);</div>
<div class="line"><a name="l00755"></a><span class="lineno">  755</span>&#160;      <span class="keywordflow">if</span> ( info ) </div>
<div class="line"><a name="l00756"></a><span class="lineno">  756</span>&#160;      {</div>
<div class="line"><a name="l00757"></a><span class="lineno">  757</span>&#160;        m_lastError = <span class="stringliteral">&quot;THE MATRIX IS STRUCTURALLY SINGULAR ... ZERO COLUMN AT &quot;</span>;</div>
<div class="line"><a name="l00758"></a><span class="lineno">  758</span>&#160;        std::ostringstream returnInfo;</div>
<div class="line"><a name="l00759"></a><span class="lineno">  759</span>&#160;        returnInfo &lt;&lt; info; </div>
<div class="line"><a name="l00760"></a><span class="lineno">  760</span>&#160;        m_lastError += returnInfo.str();</div>
<div class="line"><a name="l00761"></a><span class="lineno">  761</span>&#160;        m_info = <a class="code" href="group__enums.html#gga85fad7b87587764e5cf6b513a9e0ee5ea1c6e20706575a629b27a105f07f1883b">NumericalIssue</a>; </div>
<div class="line"><a name="l00762"></a><span class="lineno">  762</span>&#160;        m_factorizationIsOk = <span class="keyword">false</span>; </div>
<div class="line"><a name="l00763"></a><span class="lineno">  763</span>&#160;        <span class="keywordflow">return</span>; </div>
<div class="line"><a name="l00764"></a><span class="lineno">  764</span>&#160;      }</div>
<div class="line"><a name="l00765"></a><span class="lineno">  765</span>&#160;      </div>
<div class="line"><a name="l00766"></a><span class="lineno">  766</span>&#160;      <span class="comment">// Update the determinant of the row permutation matrix</span></div>
<div class="line"><a name="l00767"></a><span class="lineno">  767</span>&#160;      <span class="comment">// FIXME: the following test is not correct, we should probably take iperm_c into account and pivrow is not directly the row pivot.</span></div>
<div class="line"><a name="l00768"></a><span class="lineno">  768</span>&#160;      <span class="keywordflow">if</span> (pivrow != jj) m_detPermR = -m_detPermR;</div>
<div class="line"><a name="l00769"></a><span class="lineno">  769</span>&#160; </div>
<div class="line"><a name="l00770"></a><span class="lineno">  770</span>&#160;      <span class="comment">// Prune columns (0:jj-1) using column jj</span></div>
<div class="line"><a name="l00771"></a><span class="lineno">  771</span>&#160;      Base::pruneL(jj, m_perm_r.indices(), pivrow, nseg, segrep, repfnz_k, xprune, m_glu); </div>
<div class="line"><a name="l00772"></a><span class="lineno">  772</span>&#160;      </div>
<div class="line"><a name="l00773"></a><span class="lineno">  773</span>&#160;      <span class="comment">// Reset repfnz for this column </span></div>
<div class="line"><a name="l00774"></a><span class="lineno">  774</span>&#160;      <span class="keywordflow">for</span> (i = 0; i &lt; nseg; i++)</div>
<div class="line"><a name="l00775"></a><span class="lineno">  775</span>&#160;      {</div>
<div class="line"><a name="l00776"></a><span class="lineno">  776</span>&#160;        irep = segrep(i); </div>
<div class="line"><a name="l00777"></a><span class="lineno">  777</span>&#160;        repfnz_k(irep) = emptyIdxLU; </div>
<div class="line"><a name="l00778"></a><span class="lineno">  778</span>&#160;      }</div>
<div class="line"><a name="l00779"></a><span class="lineno">  779</span>&#160;    } <span class="comment">// end SparseLU within the panel  </span></div>
<div class="line"><a name="l00780"></a><span class="lineno">  780</span>&#160;    jcol += panel_size;  <span class="comment">// Move to the next panel</span></div>
<div class="line"><a name="l00781"></a><span class="lineno">  781</span>&#160;  } <span class="comment">// end for -- end elimination </span></div>
<div class="line"><a name="l00782"></a><span class="lineno">  782</span>&#160;  </div>
<div class="line"><a name="l00783"></a><span class="lineno">  783</span>&#160;  m_detPermR = m_perm_r.determinant();</div>
<div class="line"><a name="l00784"></a><span class="lineno">  784</span>&#160;  m_detPermC = m_perm_c.determinant();</div>
<div class="line"><a name="l00785"></a><span class="lineno">  785</span>&#160;  </div>
<div class="line"><a name="l00786"></a><span class="lineno">  786</span>&#160;  <span class="comment">// Count the number of nonzeros in factors </span></div>
<div class="line"><a name="l00787"></a><span class="lineno">  787</span>&#160;  Base::countnz(n, m_nnzL, m_nnzU, m_glu); </div>
<div class="line"><a name="l00788"></a><span class="lineno">  788</span>&#160;  <span class="comment">// Apply permutation  to the L subscripts </span></div>
<div class="line"><a name="l00789"></a><span class="lineno">  789</span>&#160;  Base::fixupL(n, m_perm_r.indices(), m_glu);</div>
<div class="line"><a name="l00790"></a><span class="lineno">  790</span>&#160;  </div>
<div class="line"><a name="l00791"></a><span class="lineno">  791</span>&#160;  <span class="comment">// Create supernode matrix L </span></div>
<div class="line"><a name="l00792"></a><span class="lineno">  792</span>&#160;  m_Lstore.setInfos(m, n, m_glu.lusup, m_glu.xlusup, m_glu.lsub, m_glu.xlsub, m_glu.supno, m_glu.xsup); </div>
<div class="line"><a name="l00793"></a><span class="lineno">  793</span>&#160;  <span class="comment">// Create the column major upper sparse matrix  U; </span></div>
<div class="line"><a name="l00794"></a><span class="lineno">  794</span>&#160;  <span class="keyword">new</span> (&amp;m_Ustore) <a class="code" href="classEigen_1_1Map.html">Map</a>&lt;<a class="code" href="classEigen_1_1SparseMatrix.html">SparseMatrix&lt;Scalar, ColMajor, StorageIndex&gt;</a>&gt; ( m, n, m_nnzU, m_glu.xusub.data(), m_glu.usub.data(), m_glu.ucol.data() );</div>
<div class="line"><a name="l00795"></a><span class="lineno">  795</span>&#160;  </div>
<div class="line"><a name="l00796"></a><span class="lineno">  796</span>&#160;  m_info = <a class="code" href="group__enums.html#gga85fad7b87587764e5cf6b513a9e0ee5ea671a2aeb0f527802806a441d58a80fcf">Success</a>;</div>
<div class="line"><a name="l00797"></a><span class="lineno">  797</span>&#160;  m_factorizationIsOk = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00798"></a><span class="lineno">  798</span>&#160;}</div>
<div class="line"><a name="l00799"></a><span class="lineno">  799</span>&#160; </div>
<div class="line"><a name="l00800"></a><span class="lineno">  800</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MappedSupernodalType&gt;</div>
<div class="line"><a name="l00801"></a><span class="lineno">  801</span>&#160;<span class="keyword">struct </span>SparseLUMatrixLReturnType : internal::no_assignment_operator</div>
<div class="line"><a name="l00802"></a><span class="lineno">  802</span>&#160;{</div>
<div class="line"><a name="l00803"></a><span class="lineno">  803</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> MappedSupernodalType::Scalar Scalar;</div>
<div class="line"><a name="l00804"></a><span class="lineno">  804</span>&#160;  <span class="keyword">explicit</span> SparseLUMatrixLReturnType(<span class="keyword">const</span> MappedSupernodalType&amp; mapL) : m_mapL(mapL)</div>
<div class="line"><a name="l00805"></a><span class="lineno">  805</span>&#160;  { }</div>
<div class="line"><a name="l00806"></a><span class="lineno">  806</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> rows()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_mapL.rows(); }</div>
<div class="line"><a name="l00807"></a><span class="lineno">  807</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> cols()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_mapL.cols(); }</div>
<div class="line"><a name="l00808"></a><span class="lineno">  808</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Dest&gt;</div>
<div class="line"><a name="l00809"></a><span class="lineno">  809</span>&#160;  <span class="keywordtype">void</span> solveInPlace( MatrixBase&lt;Dest&gt; &amp;X)<span class="keyword"> const</span></div>
<div class="line"><a name="l00810"></a><span class="lineno">  810</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00811"></a><span class="lineno">  811</span>&#160;    m_mapL.solveInPlace(X);</div>
<div class="line"><a name="l00812"></a><span class="lineno">  812</span>&#160;  }</div>
<div class="line"><a name="l00813"></a><span class="lineno">  813</span>&#160;  <span class="keyword">template</span>&lt;<span class="keywordtype">bool</span> Conjugate, <span class="keyword">typename</span> Dest&gt;</div>
<div class="line"><a name="l00814"></a><span class="lineno">  814</span>&#160;  <span class="keywordtype">void</span> solveTransposedInPlace( MatrixBase&lt;Dest&gt; &amp;X)<span class="keyword"> const</span></div>
<div class="line"><a name="l00815"></a><span class="lineno">  815</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00816"></a><span class="lineno">  816</span>&#160;    m_mapL.template solveTransposedInPlace&lt;Conjugate&gt;(X);</div>
<div class="line"><a name="l00817"></a><span class="lineno">  817</span>&#160;  }</div>
<div class="line"><a name="l00818"></a><span class="lineno">  818</span>&#160; </div>
<div class="line"><a name="l00819"></a><span class="lineno">  819</span>&#160;  <span class="keyword">const</span> MappedSupernodalType&amp; m_mapL;</div>
<div class="line"><a name="l00820"></a><span class="lineno">  820</span>&#160;};</div>
<div class="line"><a name="l00821"></a><span class="lineno">  821</span>&#160; </div>
<div class="line"><a name="l00822"></a><span class="lineno">  822</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixLType, <span class="keyword">typename</span> MatrixUType&gt;</div>
<div class="line"><a name="l00823"></a><span class="lineno">  823</span>&#160;<span class="keyword">struct </span>SparseLUMatrixUReturnType : internal::no_assignment_operator</div>
<div class="line"><a name="l00824"></a><span class="lineno">  824</span>&#160;{</div>
<div class="line"><a name="l00825"></a><span class="lineno">  825</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixLType::Scalar Scalar;</div>
<div class="line"><a name="l00826"></a><span class="lineno">  826</span>&#160;  SparseLUMatrixUReturnType(<span class="keyword">const</span> MatrixLType&amp; mapL, <span class="keyword">const</span> MatrixUType&amp; mapU)</div>
<div class="line"><a name="l00827"></a><span class="lineno">  827</span>&#160;  : m_mapL(mapL),m_mapU(mapU)</div>
<div class="line"><a name="l00828"></a><span class="lineno">  828</span>&#160;  { }</div>
<div class="line"><a name="l00829"></a><span class="lineno">  829</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> rows()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_mapL.rows(); }</div>
<div class="line"><a name="l00830"></a><span class="lineno">  830</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> cols()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_mapL.cols(); }</div>
<div class="line"><a name="l00831"></a><span class="lineno">  831</span>&#160; </div>
<div class="line"><a name="l00832"></a><span class="lineno">  832</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Dest&gt;   <span class="keywordtype">void</span> solveInPlace(MatrixBase&lt;Dest&gt; &amp;X)<span class="keyword"> const</span></div>
<div class="line"><a name="l00833"></a><span class="lineno">  833</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00834"></a><span class="lineno">  834</span>&#160;    <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> nrhs = X.cols();</div>
<div class="line"><a name="l00835"></a><span class="lineno">  835</span>&#160;    <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> n    = X.rows();</div>
<div class="line"><a name="l00836"></a><span class="lineno">  836</span>&#160;    <span class="comment">// Backward solve with U</span></div>
<div class="line"><a name="l00837"></a><span class="lineno">  837</span>&#160;    <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> k = m_mapL.nsuper(); k &gt;= 0; k--)</div>
<div class="line"><a name="l00838"></a><span class="lineno">  838</span>&#160;    {</div>
<div class="line"><a name="l00839"></a><span class="lineno">  839</span>&#160;      <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> fsupc = m_mapL.supToCol()[k];</div>
<div class="line"><a name="l00840"></a><span class="lineno">  840</span>&#160;      <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> lda = m_mapL.colIndexPtr()[fsupc+1] - m_mapL.colIndexPtr()[fsupc]; <span class="comment">// leading dimension</span></div>
<div class="line"><a name="l00841"></a><span class="lineno">  841</span>&#160;      <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> nsupc = m_mapL.supToCol()[k+1] - fsupc;</div>
<div class="line"><a name="l00842"></a><span class="lineno">  842</span>&#160;      <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> luptr = m_mapL.colIndexPtr()[fsupc];</div>
<div class="line"><a name="l00843"></a><span class="lineno">  843</span>&#160; </div>
<div class="line"><a name="l00844"></a><span class="lineno">  844</span>&#160;      <span class="keywordflow">if</span> (nsupc == 1)</div>
<div class="line"><a name="l00845"></a><span class="lineno">  845</span>&#160;      {</div>
<div class="line"><a name="l00846"></a><span class="lineno">  846</span>&#160;        <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> j = 0; j &lt; nrhs; j++)</div>
<div class="line"><a name="l00847"></a><span class="lineno">  847</span>&#160;        {</div>
<div class="line"><a name="l00848"></a><span class="lineno">  848</span>&#160;          X(fsupc, j) /= m_mapL.valuePtr()[luptr];</div>
<div class="line"><a name="l00849"></a><span class="lineno">  849</span>&#160;        }</div>
<div class="line"><a name="l00850"></a><span class="lineno">  850</span>&#160;      }</div>
<div class="line"><a name="l00851"></a><span class="lineno">  851</span>&#160;      <span class="keywordflow">else</span></div>
<div class="line"><a name="l00852"></a><span class="lineno">  852</span>&#160;      {</div>
<div class="line"><a name="l00853"></a><span class="lineno">  853</span>&#160;        <span class="comment">// FIXME: the following lines should use Block expressions and not Map!</span></div>
<div class="line"><a name="l00854"></a><span class="lineno">  854</span>&#160;        Map&lt;const Matrix&lt;Scalar,Dynamic,Dynamic, ColMajor&gt;, 0, OuterStride&lt;&gt; &gt; A( &amp;(m_mapL.valuePtr()[luptr]), nsupc, nsupc, OuterStride&lt;&gt;(lda) );</div>
<div class="line"><a name="l00855"></a><span class="lineno">  855</span>&#160;        Map&lt; Matrix&lt;Scalar,Dynamic,Dest::ColsAtCompileTime, ColMajor&gt;, 0, OuterStride&lt;&gt; &gt; U (&amp;(X.coeffRef(fsupc,0)), nsupc, nrhs, OuterStride&lt;&gt;(n) );</div>
<div class="line"><a name="l00856"></a><span class="lineno">  856</span>&#160;        U = A.template triangularView&lt;Upper&gt;().solve(U);</div>
<div class="line"><a name="l00857"></a><span class="lineno">  857</span>&#160;      }</div>
<div class="line"><a name="l00858"></a><span class="lineno">  858</span>&#160; </div>
<div class="line"><a name="l00859"></a><span class="lineno">  859</span>&#160;      <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> j = 0; j &lt; nrhs; ++j)</div>
<div class="line"><a name="l00860"></a><span class="lineno">  860</span>&#160;      {</div>
<div class="line"><a name="l00861"></a><span class="lineno">  861</span>&#160;        <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> jcol = fsupc; jcol &lt; fsupc + nsupc; jcol++)</div>
<div class="line"><a name="l00862"></a><span class="lineno">  862</span>&#160;        {</div>
<div class="line"><a name="l00863"></a><span class="lineno">  863</span>&#160;          <span class="keyword">typename</span> MatrixUType::InnerIterator it(m_mapU, jcol);</div>
<div class="line"><a name="l00864"></a><span class="lineno">  864</span>&#160;          <span class="keywordflow">for</span> ( ; it; ++it)</div>
<div class="line"><a name="l00865"></a><span class="lineno">  865</span>&#160;          {</div>
<div class="line"><a name="l00866"></a><span class="lineno">  866</span>&#160;            <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> irow = it.index();</div>
<div class="line"><a name="l00867"></a><span class="lineno">  867</span>&#160;            X(irow, j) -= X(jcol, j) * it.value();</div>
<div class="line"><a name="l00868"></a><span class="lineno">  868</span>&#160;          }</div>
<div class="line"><a name="l00869"></a><span class="lineno">  869</span>&#160;        }</div>
<div class="line"><a name="l00870"></a><span class="lineno">  870</span>&#160;      }</div>
<div class="line"><a name="l00871"></a><span class="lineno">  871</span>&#160;    } <span class="comment">// End For U-solve</span></div>
<div class="line"><a name="l00872"></a><span class="lineno">  872</span>&#160;  }</div>
<div class="line"><a name="l00873"></a><span class="lineno">  873</span>&#160; </div>
<div class="line"><a name="l00874"></a><span class="lineno">  874</span>&#160;  <span class="keyword">template</span>&lt;<span class="keywordtype">bool</span> Conjugate, <span class="keyword">typename</span> Dest&gt;   <span class="keywordtype">void</span> solveTransposedInPlace(MatrixBase&lt;Dest&gt; &amp;X)<span class="keyword"> const</span></div>
<div class="line"><a name="l00875"></a><span class="lineno">  875</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00876"></a><span class="lineno">  876</span>&#160;    <span class="keyword">using</span> numext::conj;</div>
<div class="line"><a name="l00877"></a><span class="lineno">  877</span>&#160;    <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> nrhs = X.cols();</div>
<div class="line"><a name="l00878"></a><span class="lineno">  878</span>&#160;    <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> n    = X.rows();</div>
<div class="line"><a name="l00879"></a><span class="lineno">  879</span>&#160;    <span class="comment">// Forward solve with U</span></div>
<div class="line"><a name="l00880"></a><span class="lineno">  880</span>&#160;    <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> k = 0; k &lt;=  m_mapL.nsuper(); k++)</div>
<div class="line"><a name="l00881"></a><span class="lineno">  881</span>&#160;    {</div>
<div class="line"><a name="l00882"></a><span class="lineno">  882</span>&#160;      <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> fsupc = m_mapL.supToCol()[k];</div>
<div class="line"><a name="l00883"></a><span class="lineno">  883</span>&#160;      <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> lda = m_mapL.colIndexPtr()[fsupc+1] - m_mapL.colIndexPtr()[fsupc]; <span class="comment">// leading dimension</span></div>
<div class="line"><a name="l00884"></a><span class="lineno">  884</span>&#160;      <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> nsupc = m_mapL.supToCol()[k+1] - fsupc;</div>
<div class="line"><a name="l00885"></a><span class="lineno">  885</span>&#160;      <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> luptr = m_mapL.colIndexPtr()[fsupc];</div>
<div class="line"><a name="l00886"></a><span class="lineno">  886</span>&#160; </div>
<div class="line"><a name="l00887"></a><span class="lineno">  887</span>&#160;      <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> j = 0; j &lt; nrhs; ++j)</div>
<div class="line"><a name="l00888"></a><span class="lineno">  888</span>&#160;      {</div>
<div class="line"><a name="l00889"></a><span class="lineno">  889</span>&#160;        <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> jcol = fsupc; jcol &lt; fsupc + nsupc; jcol++)</div>
<div class="line"><a name="l00890"></a><span class="lineno">  890</span>&#160;        {</div>
<div class="line"><a name="l00891"></a><span class="lineno">  891</span>&#160;          <span class="keyword">typename</span> MatrixUType::InnerIterator it(m_mapU, jcol);</div>
<div class="line"><a name="l00892"></a><span class="lineno">  892</span>&#160;          <span class="keywordflow">for</span> ( ; it; ++it)</div>
<div class="line"><a name="l00893"></a><span class="lineno">  893</span>&#160;          {</div>
<div class="line"><a name="l00894"></a><span class="lineno">  894</span>&#160;            <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> irow = it.index();</div>
<div class="line"><a name="l00895"></a><span class="lineno">  895</span>&#160;            X(jcol, j) -= X(irow, j) * (Conjugate? <a class="code" href="namespaceEigen.html#ab84f39a06a18e1ebb23f8be80345b79d">conj</a>(it.value()): it.value());</div>
<div class="line"><a name="l00896"></a><span class="lineno">  896</span>&#160;          }</div>
<div class="line"><a name="l00897"></a><span class="lineno">  897</span>&#160;        }</div>
<div class="line"><a name="l00898"></a><span class="lineno">  898</span>&#160;      }</div>
<div class="line"><a name="l00899"></a><span class="lineno">  899</span>&#160;      <span class="keywordflow">if</span> (nsupc == 1)</div>
<div class="line"><a name="l00900"></a><span class="lineno">  900</span>&#160;      {</div>
<div class="line"><a name="l00901"></a><span class="lineno">  901</span>&#160;        <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> j = 0; j &lt; nrhs; j++)</div>
<div class="line"><a name="l00902"></a><span class="lineno">  902</span>&#160;        {</div>
<div class="line"><a name="l00903"></a><span class="lineno">  903</span>&#160;          X(fsupc, j) /= (Conjugate? <a class="code" href="namespaceEigen.html#ab84f39a06a18e1ebb23f8be80345b79d">conj</a>(m_mapL.valuePtr()[luptr]) : m_mapL.valuePtr()[luptr]);</div>
<div class="line"><a name="l00904"></a><span class="lineno">  904</span>&#160;        }</div>
<div class="line"><a name="l00905"></a><span class="lineno">  905</span>&#160;      }</div>
<div class="line"><a name="l00906"></a><span class="lineno">  906</span>&#160;      <span class="keywordflow">else</span></div>
<div class="line"><a name="l00907"></a><span class="lineno">  907</span>&#160;      {</div>
<div class="line"><a name="l00908"></a><span class="lineno">  908</span>&#160;        Map&lt;const Matrix&lt;Scalar,Dynamic,Dynamic, ColMajor&gt;, 0, OuterStride&lt;&gt; &gt; A( &amp;(m_mapL.valuePtr()[luptr]), nsupc, nsupc, OuterStride&lt;&gt;(lda) );</div>
<div class="line"><a name="l00909"></a><span class="lineno">  909</span>&#160;        Map&lt; Matrix&lt;Scalar,Dynamic,Dest::ColsAtCompileTime, ColMajor&gt;, 0, OuterStride&lt;&gt; &gt; U (&amp;(X(fsupc,0)), nsupc, nrhs, OuterStride&lt;&gt;(n) );</div>
<div class="line"><a name="l00910"></a><span class="lineno">  910</span>&#160;        <span class="keywordflow">if</span>(Conjugate)</div>
<div class="line"><a name="l00911"></a><span class="lineno">  911</span>&#160;          U = A.adjoint().template triangularView&lt;Lower&gt;().solve(U);</div>
<div class="line"><a name="l00912"></a><span class="lineno">  912</span>&#160;        <span class="keywordflow">else</span></div>
<div class="line"><a name="l00913"></a><span class="lineno">  913</span>&#160;          U = A.transpose().template triangularView&lt;Lower&gt;().solve(U);</div>
<div class="line"><a name="l00914"></a><span class="lineno">  914</span>&#160;      }</div>
<div class="line"><a name="l00915"></a><span class="lineno">  915</span>&#160;    }<span class="comment">// End For U-solve</span></div>
<div class="line"><a name="l00916"></a><span class="lineno">  916</span>&#160;  }</div>
<div class="line"><a name="l00917"></a><span class="lineno">  917</span>&#160; </div>
<div class="line"><a name="l00918"></a><span class="lineno">  918</span>&#160; </div>
<div class="line"><a name="l00919"></a><span class="lineno">  919</span>&#160;  <span class="keyword">const</span> MatrixLType&amp; m_mapL;</div>
<div class="line"><a name="l00920"></a><span class="lineno">  920</span>&#160;  <span class="keyword">const</span> MatrixUType&amp; m_mapU;</div>
<div class="line"><a name="l00921"></a><span class="lineno">  921</span>&#160;};</div>
<div class="line"><a name="l00922"></a><span class="lineno">  922</span>&#160; </div>
<div class="line"><a name="l00923"></a><span class="lineno">  923</span>&#160;} <span class="comment">// End namespace Eigen </span></div>
<div class="line"><a name="l00924"></a><span class="lineno">  924</span>&#160; </div>
<div class="line"><a name="l00925"></a><span class="lineno">  925</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="ttc" id="aclassEigen_1_1DenseCoeffsBase_3_01Derived_00_01DirectWriteAccessors_01_4_html_a1fbabe7f12bcbfba3b9a448b1f5e46fa"><div class="ttname"><a href="classEigen_1_1DenseCoeffsBase_3_01Derived_00_01DirectWriteAccessors_01_4.html#a1fbabe7f12bcbfba3b9a448b1f5e46fa">Eigen::DenseCoeffsBase&lt; Derived, DirectWriteAccessors &gt;::derived</a></div><div class="ttdeci">Derived &amp; derived()</div><div class="ttdef"><b>Definition:</b> EigenBase.h:48</div></div>
<div class="ttc" id="aclassEigen_1_1DenseCoeffsBase_3_01Derived_00_01DirectWriteAccessors_01_4_html_a2d768a9877f5f69f49432d447b552bfe"><div class="ttname"><a href="classEigen_1_1DenseCoeffsBase_3_01Derived_00_01DirectWriteAccessors_01_4.html#a2d768a9877f5f69f49432d447b552bfe">Eigen::DenseCoeffsBase&lt; Derived, DirectWriteAccessors &gt;::cols</a></div><div class="ttdeci">EIGEN_CONSTEXPR Index cols() const EIGEN_NOEXCEPT</div><div class="ttdef"><b>Definition:</b> EigenBase.h:65</div></div>
<div class="ttc" id="aclassEigen_1_1DenseCoeffsBase_3_01Derived_00_01DirectWriteAccessors_01_4_html_ac22eb0695d00edd7d4a3b2d0a98b81c2"><div class="ttname"><a href="classEigen_1_1DenseCoeffsBase_3_01Derived_00_01DirectWriteAccessors_01_4.html#ac22eb0695d00edd7d4a3b2d0a98b81c2">Eigen::DenseCoeffsBase&lt; Derived, DirectWriteAccessors &gt;::rows</a></div><div class="ttdeci">EIGEN_CONSTEXPR Index rows() const EIGEN_NOEXCEPT</div><div class="ttdef"><b>Definition:</b> EigenBase.h:62</div></div>
<div class="ttc" id="aclassEigen_1_1Map_html"><div class="ttname"><a href="classEigen_1_1Map.html">Eigen::Map</a></div><div class="ttdoc">A matrix or vector expression mapping an existing array of data.</div><div class="ttdef"><b>Definition:</b> Map.h:98</div></div>
<div class="ttc" id="aclassEigen_1_1MatrixBase_html"><div class="ttname"><a href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a></div><div class="ttdoc">Base class for all dense matrices, vectors, and expressions.</div><div class="ttdef"><b>Definition:</b> MatrixBase.h:52</div></div>
<div class="ttc" id="aclassEigen_1_1Matrix_html"><div class="ttname"><a href="classEigen_1_1Matrix.html">Eigen::Matrix&lt; Scalar, Dynamic, 1 &gt;</a></div></div>
<div class="ttc" id="aclassEigen_1_1PermutationBase_html_adb9af427f317202366c2832876064eb3"><div class="ttname"><a href="classEigen_1_1PermutationBase.html#adb9af427f317202366c2832876064eb3">Eigen::PermutationBase::inverse</a></div><div class="ttdeci">InverseReturnType inverse() const</div><div class="ttdef"><b>Definition:</b> PermutationMatrix.h:187</div></div>
<div class="ttc" id="aclassEigen_1_1PermutationMatrix_html"><div class="ttname"><a href="classEigen_1_1PermutationMatrix.html">Eigen::PermutationMatrix&lt; Dynamic, Dynamic, StorageIndex &gt;</a></div></div>
<div class="ttc" id="aclassEigen_1_1PermutationMatrix_html_a72dc844cf42b997e4e58adf13a4f0bde"><div class="ttname"><a href="classEigen_1_1PermutationMatrix.html#a72dc844cf42b997e4e58adf13a4f0bde">Eigen::PermutationMatrix::indices</a></div><div class="ttdeci">const IndicesType &amp; indices() const</div><div class="ttdef"><b>Definition:</b> PermutationMatrix.h:362</div></div>
<div class="ttc" id="aclassEigen_1_1PlainObjectBase_html_a9fd0703bd7bfe89d6dc80e2ce87c312a"><div class="ttname"><a href="classEigen_1_1PlainObjectBase.html#a9fd0703bd7bfe89d6dc80e2ce87c312a">Eigen::PlainObjectBase::resize</a></div><div class="ttdeci">void resize(Index rows, Index cols)</div><div class="ttdef"><b>Definition:</b> PlainObjectBase.h:283</div></div>
<div class="ttc" id="aclassEigen_1_1PlainObjectBase_html_aac6bc5261783ec3008a51c2654de73e8"><div class="ttname"><a href="classEigen_1_1PlainObjectBase.html#aac6bc5261783ec3008a51c2654de73e8">Eigen::PlainObjectBase::setConstant</a></div><div class="ttdeci">Derived &amp; setConstant(Index size, const Scalar &amp;val)</div><div class="ttdef"><b>Definition:</b> CwiseNullaryOp.h:363</div></div>
<div class="ttc" id="aclassEigen_1_1PlainObjectBase_html_acc39eaf7ba22b725c86f1b9b8bb57c3c"><div class="ttname"><a href="classEigen_1_1PlainObjectBase.html#acc39eaf7ba22b725c86f1b9b8bb57c3c">Eigen::PlainObjectBase::setZero</a></div><div class="ttdeci">Derived &amp; setZero(Index size)</div><div class="ttdef"><b>Definition:</b> CwiseNullaryOp.h:564</div></div>
<div class="ttc" id="aclassEigen_1_1Solve_html"><div class="ttname"><a href="classEigen_1_1Solve.html">Eigen::Solve</a></div><div class="ttdoc">Pseudo expression representing a solving operation.</div><div class="ttdef"><b>Definition:</b> Solve.h:65</div></div>
<div class="ttc" id="aclassEigen_1_1SparseLU_html"><div class="ttname"><a href="classEigen_1_1SparseLU.html">Eigen::SparseLU</a></div><div class="ttdoc">Sparse supernodal LU factorization for general matrices.</div><div class="ttdef"><b>Definition:</b> SparseLU.h:134</div></div>
<div class="ttc" id="aclassEigen_1_1SparseLU_html_a0ab85d3c48ba0bdfea31754094f7233d"><div class="ttname"><a href="classEigen_1_1SparseLU.html#a0ab85d3c48ba0bdfea31754094f7233d">Eigen::SparseLU::setPivotThreshold</a></div><div class="ttdeci">void setPivotThreshold(const RealScalar &amp;thresh)</div><div class="ttdef"><b>Definition:</b> SparseLU.h:277</div></div>
<div class="ttc" id="aclassEigen_1_1SparseLU_html_a0b776be947c48a76d48f234fa6bf84da"><div class="ttname"><a href="classEigen_1_1SparseLU.html#a0b776be947c48a76d48f234fa6bf84da">Eigen::SparseLU::logAbsDeterminant</a></div><div class="ttdeci">Scalar logAbsDeterminant() const</div><div class="ttdef"><b>Definition:</b> SparseLU.h:382</div></div>
<div class="ttc" id="aclassEigen_1_1SparseLU_html_a37ecd1187e54026c90ff11e5b3260619"><div class="ttname"><a href="classEigen_1_1SparseLU.html#a37ecd1187e54026c90ff11e5b3260619">Eigen::SparseLU::matrixU</a></div><div class="ttdeci">SparseLUMatrixUReturnType&lt; SCMatrix, Map&lt; SparseMatrix&lt; Scalar, ColMajor, StorageIndex &gt; &gt; &gt; matrixU() const</div><div class="ttdef"><b>Definition:</b> SparseLU.h:255</div></div>
<div class="ttc" id="aclassEigen_1_1SparseLU_html_a39858b0e72f2659d596364e252b34cbc"><div class="ttname"><a href="classEigen_1_1SparseLU.html#a39858b0e72f2659d596364e252b34cbc">Eigen::SparseLU::factorize</a></div><div class="ttdeci">void factorize(const MatrixType &amp;matrix)</div><div class="ttdef"><b>Definition:</b> SparseLU.h:597</div></div>
<div class="ttc" id="aclassEigen_1_1SparseLU_html_a4169e524654e4a5022f6adc87cb9d121"><div class="ttname"><a href="classEigen_1_1SparseLU.html#a4169e524654e4a5022f6adc87cb9d121">Eigen::SparseLU::rowsPermutation</a></div><div class="ttdeci">const PermutationType &amp; rowsPermutation() const</div><div class="ttdef"><b>Definition:</b> SparseLU.h:264</div></div>
<div class="ttc" id="aclassEigen_1_1SparseLU_html_a4591a05dc1b025ea2704da6cd1b19dde"><div class="ttname"><a href="classEigen_1_1SparseLU.html#a4591a05dc1b025ea2704da6cd1b19dde">Eigen::SparseLU::lastErrorMessage</a></div><div class="ttdeci">std::string lastErrorMessage() const</div><div class="ttdef"><b>Definition:</b> SparseLU.h:310</div></div>
<div class="ttc" id="aclassEigen_1_1SparseLU_html_a470a4d11f5fae535444a944229c3971f"><div class="ttname"><a href="classEigen_1_1SparseLU.html#a470a4d11f5fae535444a944229c3971f">Eigen::SparseLU::adjoint</a></div><div class="ttdeci">const SparseLUTransposeView&lt; true, SparseLU&lt; MatrixType_, OrderingType_ &gt; &gt; adjoint()</div><div class="ttdef"><b>Definition:</b> SparseLU.h:223</div></div>
<div class="ttc" id="aclassEigen_1_1SparseLU_html_a5082b9d812d665521473c6c350c83495"><div class="ttname"><a href="classEigen_1_1SparseLU.html#a5082b9d812d665521473c6c350c83495">Eigen::SparseLU::matrixL</a></div><div class="ttdeci">SparseLUMatrixLReturnType&lt; SCMatrix &gt; matrixL() const</div><div class="ttdef"><b>Definition:</b> SparseLU.h:245</div></div>
<div class="ttc" id="aclassEigen_1_1SparseLU_html_a5b509284ea760c16df0a199a02222706"><div class="ttname"><a href="classEigen_1_1SparseLU.html#a5b509284ea760c16df0a199a02222706">Eigen::SparseLU::compute</a></div><div class="ttdeci">void compute(const MatrixType &amp;matrix)</div><div class="ttdef"><b>Definition:</b> SparseLU.h:184</div></div>
<div class="ttc" id="aclassEigen_1_1SparseLU_html_a619e12b0ec4a3e767c1e797162e23745"><div class="ttname"><a href="classEigen_1_1SparseLU.html#a619e12b0ec4a3e767c1e797162e23745">Eigen::SparseLU::info</a></div><div class="ttdeci">ComputationInfo info() const</div><div class="ttdoc">Reports whether previous computation was successful.</div><div class="ttdef"><b>Definition:</b> SparseLU.h:301</div></div>
<div class="ttc" id="aclassEigen_1_1SparseLU_html_a66e90fafa69e65e84c0f5fb76d6f39f8"><div class="ttname"><a href="classEigen_1_1SparseLU.html#a66e90fafa69e65e84c0f5fb76d6f39f8">Eigen::SparseLU::signDeterminant</a></div><div class="ttdeci">Scalar signDeterminant()</div><div class="ttdef"><b>Definition:</b> SparseLU.h:408</div></div>
<div class="ttc" id="aclassEigen_1_1SparseLU_html_a9607aab8ecb951b12a80dce2c39f44e8"><div class="ttname"><a href="classEigen_1_1SparseLU.html#a9607aab8ecb951b12a80dce2c39f44e8">Eigen::SparseLU::absDeterminant</a></div><div class="ttdeci">Scalar absDeterminant()</div><div class="ttdef"><b>Definition:</b> SparseLU.h:352</div></div>
<div class="ttc" id="aclassEigen_1_1SparseLU_html_aa907ff958c4f4855145091d2686f3a8a"><div class="ttname"><a href="classEigen_1_1SparseLU.html#aa907ff958c4f4855145091d2686f3a8a">Eigen::SparseLU::analyzePattern</a></div><div class="ttdeci">void analyzePattern(const MatrixType &amp;matrix)</div><div class="ttdef"><b>Definition:</b> SparseLU.h:512</div></div>
<div class="ttc" id="aclassEigen_1_1SparseLU_html_ab9a0e1745a960eae7334a59bfc88e536"><div class="ttname"><a href="classEigen_1_1SparseLU.html#ab9a0e1745a960eae7334a59bfc88e536">Eigen::SparseLU::solve</a></div><div class="ttdeci">const Solve&lt; SparseLU, Rhs &gt; solve(const MatrixBase&lt; Rhs &gt; &amp;B) const</div></div>
<div class="ttc" id="aclassEigen_1_1SparseLU_html_ad6811b4ed43008866f76dac0d961aa07"><div class="ttname"><a href="classEigen_1_1SparseLU.html#ad6811b4ed43008866f76dac0d961aa07">Eigen::SparseLU::transpose</a></div><div class="ttdeci">const SparseLUTransposeView&lt; false, SparseLU&lt; MatrixType_, OrderingType_ &gt; &gt; transpose()</div><div class="ttdef"><b>Definition:</b> SparseLU.h:202</div></div>
<div class="ttc" id="aclassEigen_1_1SparseLU_html_adc74f4ce95a46895eb0195cce99ff4d7"><div class="ttname"><a href="classEigen_1_1SparseLU.html#adc74f4ce95a46895eb0195cce99ff4d7">Eigen::SparseLU::isSymmetric</a></div><div class="ttdeci">void isSymmetric(bool sym)</div><div class="ttdef"><b>Definition:</b> SparseLU.h:234</div></div>
<div class="ttc" id="aclassEigen_1_1SparseLU_html_add2cce3e39c9d25a94a1288268b22cd0"><div class="ttname"><a href="classEigen_1_1SparseLU.html#add2cce3e39c9d25a94a1288268b22cd0">Eigen::SparseLU::colsPermutation</a></div><div class="ttdeci">const PermutationType &amp; colsPermutation() const</div><div class="ttdef"><b>Definition:</b> SparseLU.h:272</div></div>
<div class="ttc" id="aclassEigen_1_1SparseLU_html_aeccf9472f094f27f508a69526de44946"><div class="ttname"><a href="classEigen_1_1SparseLU.html#aeccf9472f094f27f508a69526de44946">Eigen::SparseLU::determinant</a></div><div class="ttdeci">Scalar determinant()</div><div class="ttdef"><b>Definition:</b> SparseLU.h:436</div></div>
<div class="ttc" id="aclassEigen_1_1SparseMatrix_html"><div class="ttname"><a href="classEigen_1_1SparseMatrix.html">Eigen::SparseMatrix&lt; Scalar, ColMajor, StorageIndex &gt;</a></div></div>
<div class="ttc" id="aclassEigen_1_1SparseMatrix_html_a36b8cc95234b4e2de38a199b6b2af9fc"><div class="ttname"><a href="classEigen_1_1SparseMatrix.html#a36b8cc95234b4e2de38a199b6b2af9fc">Eigen::SparseMatrix::cols</a></div><div class="ttdeci">Index cols() const</div><div class="ttdef"><b>Definition:</b> SparseMatrix.h:142</div></div>
<div class="ttc" id="aclassEigen_1_1SparseMatrix_html_a853a76dd42349fa2f3654a4a61e0f574"><div class="ttname"><a href="classEigen_1_1SparseMatrix.html#a853a76dd42349fa2f3654a4a61e0f574">Eigen::SparseMatrix::rows</a></div><div class="ttdeci">Index rows() const</div><div class="ttdef"><b>Definition:</b> SparseMatrix.h:140</div></div>
<div class="ttc" id="aclassEigen_1_1SparseSolverBase_html"><div class="ttname"><a href="classEigen_1_1SparseSolverBase.html">Eigen::SparseSolverBase</a></div><div class="ttdoc">A base class for sparse solvers.</div><div class="ttdef"><b>Definition:</b> SparseSolverBase.h:70</div></div>
<div class="ttc" id="aclassEigen_1_1VectorBlock_html"><div class="ttname"><a href="classEigen_1_1VectorBlock.html">Eigen::VectorBlock</a></div><div class="ttdoc">Expression of a fixed-size or dynamic-size sub-vector.</div><div class="ttdef"><b>Definition:</b> VectorBlock.h:62</div></div>
<div class="ttc" id="agroup__enums_html_ga85fad7b87587764e5cf6b513a9e0ee5e"><div class="ttname"><a href="group__enums.html#ga85fad7b87587764e5cf6b513a9e0ee5e">Eigen::ComputationInfo</a></div><div class="ttdeci">ComputationInfo</div><div class="ttdef"><b>Definition:</b> Constants.h:442</div></div>
<div class="ttc" id="agroup__enums_html_gga85fad7b87587764e5cf6b513a9e0ee5ea1c6e20706575a629b27a105f07f1883b"><div class="ttname"><a href="group__enums.html#gga85fad7b87587764e5cf6b513a9e0ee5ea1c6e20706575a629b27a105f07f1883b">Eigen::NumericalIssue</a></div><div class="ttdeci">@ NumericalIssue</div><div class="ttdef"><b>Definition:</b> Constants.h:446</div></div>
<div class="ttc" id="agroup__enums_html_gga85fad7b87587764e5cf6b513a9e0ee5ea671a2aeb0f527802806a441d58a80fcf"><div class="ttname"><a href="group__enums.html#gga85fad7b87587764e5cf6b513a9e0ee5ea671a2aeb0f527802806a441d58a80fcf">Eigen::Success</a></div><div class="ttdeci">@ Success</div><div class="ttdef"><b>Definition:</b> Constants.h:444</div></div>
<div class="ttc" id="agroup__flags_html_gae4f56c2a60bbe4bd2e44c5b19cbe8762"><div class="ttname"><a href="group__flags.html#gae4f56c2a60bbe4bd2e44c5b19cbe8762">Eigen::RowMajorBit</a></div><div class="ttdeci">const unsigned int RowMajorBit</div><div class="ttdef"><b>Definition:</b> Constants.h:68</div></div>
<div class="ttc" id="anamespaceEigen_html"><div class="ttname"><a href="namespaceEigen.html">Eigen</a></div><div class="ttdoc">Namespace containing all symbols from the Eigen library.</div><div class="ttdef"><b>Definition:</b> Core:139</div></div>
<div class="ttc" id="anamespaceEigen_html_a62e77e0933482dafde8fe197d9a2cfde"><div class="ttname"><a href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Eigen::Index</a></div><div class="ttdeci">EIGEN_DEFAULT_DENSE_INDEX_TYPE Index</div><div class="ttdoc">The Index type as used for the API.</div><div class="ttdef"><b>Definition:</b> Meta.h:59</div></div>
<div class="ttc" id="anamespaceEigen_html_ab84f39a06a18e1ebb23f8be80345b79d"><div class="ttname"><a href="namespaceEigen.html#ab84f39a06a18e1ebb23f8be80345b79d">Eigen::conj</a></div><div class="ttdeci">const Eigen::CwiseUnaryOp&lt; Eigen::internal::scalar_conjugate_op&lt; typename Derived::Scalar &gt;, const Derived &gt; conj(const Eigen::ArrayBase&lt; Derived &gt; &amp;x)</div></div>
<div class="ttc" id="anamespaceEigen_html_ae27242789e7e62a8c42579b79be59b1a"><div class="ttname"><a href="namespaceEigen.html#ae27242789e7e62a8c42579b79be59b1a">Eigen::abs</a></div><div class="ttdeci">const Eigen::CwiseUnaryOp&lt; Eigen::internal::scalar_abs_op&lt; typename Derived::Scalar &gt;, const Derived &gt; abs(const Eigen::ArrayBase&lt; Derived &gt; &amp;x)</div></div>
<div class="ttc" id="anamespaceEigen_html_ae8bb75ba4f5f30a7571146dbfa653c6d"><div class="ttname"><a href="namespaceEigen.html#ae8bb75ba4f5f30a7571146dbfa653c6d">Eigen::log</a></div><div class="ttdeci">const Eigen::CwiseUnaryOp&lt; Eigen::internal::scalar_log_op&lt; typename Derived::Scalar &gt;, const Derived &gt; log(const Eigen::ArrayBase&lt; Derived &gt; &amp;x)</div></div>
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